Answer
Conventional Banks are obviously engaged in interest bearing transactions. Allah Ta’ala says in the noble Qur’aan, ?And do not aid in sin.? (Maaidah)
However, all the income of the Bank is not Haraam. The salary of a Muslim employee will be of the Bank assumed from the Halaal portfolio. He may use that money to perform Hajj.
and Allah Ta’ala Knows Best
Mufti Ebrahim Desai